Ordered idempotent semigroups

Tôru SAITÔ

doi:10.2969/jmsj/01420150

Tôru SAITÔ

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JOURNAL FREE ACCESS

1962 Volume 14 Issue 2 Pages 150-169

DOI https://doi.org/10.2969/jmsj/01420150

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Published: 1962 Received: March 13, 1961 Available on J-STAGE: September 26, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 26, 2006 Reason for correction: - Correction: AUTHOR Details: Wrong : Toru SAITO¹⁾
Right : Tôru SAITÔ¹⁾

Date of correction: September 26, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) N. G. Alimov, On ordered semigroups, Izvestiya Akad. Nauk SSSR., 14 (1950), 569-576 (Russian).
2) A. H. Clifford, Naturally totally ordered commutative semigroups, Amer. J. Math., 76 (1954), 631-646.
3) A. H. Clifford, Bands of semigroups, Proc. Amer. Math. Soc., 5 (1954), 499-504.
4) A. H. Clifford, Totally ordered commutative semigroups, Bull. Amer. Math. Soc., 64 (1958), 305-316.
5) A. H. Clifford, Ordered commutative semigroups of the second kind, Proc. Amer. Math. Soc., 9 (1958), 682-687.
6) P. Conrad, Ordered semigroups, Nagoya Math. J., 16 (1960), 51-64.
7) J. A. Green, On the structure of semigroups, Ann. of Math., 54 (1951), 163-172.
8) Ya. V. Hion, Ordered semigroups, Izvestiya Akad. Nauk SSSR., 21 (1957), 209-222 (Russian).
9) D. D. Miller and A. H. Clifford, Regular D-classes in semigroups, Trans. Amer. Math. Soc., 82 (1956), 270-280.

Right : [1] N. G. Alimov, On ordered semigroups, Izvestiya Akad. Nauk SSSR., 14 (1950), 569-576 (Russian).
[2] A. H. Clifford, Naturally totally ordered commutative semigroups, Amer. J. Math., 76 (1954), 631-646.
[3] A. H. Clifford, Bands of semigroups, Proc. Amer. Math. Soc., 5 (1954), 499-504.
[4] A. H. Clifford, Totally ordered commutative semigroups, Bull. Amer. Math. Soc., 64 (1958), 305-316.
[5] A. H. Clifford, Ordered commutative semigroups of the second kind, Proc. Amer. Math. Soc., 9 (1958), 682-687.
[6] P. Conrad, Ordered semigroups, Nagoya Math. J., 16 (1960), 51-64.
[7] J. A. Green, On the structure of semigroups, Ann. of Math., 54 (1951), 163-172.
[8] Ya. V. Hion, Ordered semigroups, Izvestiya Akad. Nauk SSSR., 21 (1957), 209-222 (Russian).
[9] D. D. Miller and A. H. Clifford, Regular D-classes in semigroups, Trans. Amer. Math. Soc., 82 (1956), 270-280.

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